Answer:
Height of prism = 7 inches
Step-by-step explanation:
Let h be the height of prism.
Hence,

Answer:
2 x^3
Step-by-step explanation:
sqrt(12 x^8)/ sqrt(3x^2)
combine into 1 term
sqrt(12x^8/3x^2)
when dividing exponents with the same base, we subtract
sqrt(12/3 x^(8-2))
sqrt(4 x^6)
sqrt(4) sqrt(x^6)
2 x^3
Answer: The tailor made 8 complete hats
Step-by-step explanation:
Amount of fabrics available to make hat = 6 2/3 yards
1 hat requires = 5/6 yards
Number of hat to obtain from the available fabric = Amount of fabrics available to make hat / requirement of 1 hat
=(6 2/3) / (5/6)
(20/3) / (5/6)
20/3 x 6/5 = cancelling out, we are left with
4x2= 8 hats
or
(20/3) / (5/6)
6.6666 /0.83333
= 8.00002= 8 hats
10(1/2x + 6) = 8
5x + 60 = 8
5x = 8 - 60
5x = - 52
x = -52/5